# The time taken by Stan to mow the lawn. ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 1.6, Problem 62E
To determine

## To find: The time taken by Stan to mow the lawn.

Expert Solution

The time taken by Stan to mow the loan is 2 hrs.

### Explanation of Solution

Given:

Hilda works twice as fast as Stan. If they work together than they take 40 min to mow the loan.

Calculation:

Let the time taken by Stan to mow the lawn be x.

Tabulate the given information algebraically.

 In words In Algebra Time taken by Hilda x Time taken by Stan 2x Work done by Hilda 1x Work done by Stan 12x Work done by Hilda and Stan together in 1 min 140

Model the equation for the above information as follows.

FractiondonebyStan+FractiondonebyHilda=Fractiondonebyboth12x+1x=140

On further simplification,

1+2=x20(MultiplybyLCD2x)3=x20x=20×3x=60

So, the time taken by Hilda is 60 min. That is, one hour.

Since Hilda works twice as fast as Stan, the time taken by Stan 2×60=120 minutes.

That is, 2 hours.

Thus, the time taken by Stan to mow the loan is 2 hrs.

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